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Finding the Fourth Proportional to 9,010.96, 13,513.70 and 3,166.20

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Solution

The fourth proportional to 9,010.96, 13,513.70 and 3,166.20 is: 4,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010.96 : 13,513.70 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    9,010.96/13,513.70 = 3,166.20/x
  3. Step 3: Cross multiply
    9,010.96x = 13,513.70 × 3,166.20
  4. Step 4: Simplify right side
    9,010.96x = 42,787,076.94
  5. Step 5: Solve for x
    x = 42,787,076.94/9,010.96
  6. Step 6: Final answer
    x = 4,748.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.